Question

A $20\%$ hike in bus fare resulted in a $10\%$ fall in passengers traffic still the daily collection at the bus depot increased by Rs. $150$. The daily collection at the depot after the fare hike is

• A. Rs. $1600$
• B. Rs. $1750$
• C. Rs. $2025$
• D. Rs. $1875$

Answer 1

Answer: (C)

Let the original bus fare per person be Rs. $x$ daily passenger traffic be $y$.

Daily collection at the depot $=$ Rs. $xy$
Increased bus fare $=$ Rs. $1.2x$

Reduced passenger traffic $=0.9y=1.08xy$
Given, $1.08xy=xy+150$
$\Rightarrow xy=\frac{150}{0.08}=1875$
$\therefore$ Increased daily collection $=$ Rs. $1875+$ Rs $.150=$ Rs. $2025$.